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math.AP2017★ 18 cited
Multiple nodal solutions of nonlinear Choquard equations
Zhihua Huang, Jianfu Yang, Weilin Yu
In this paper, we consider the existence of multiple nodal solutions of the nonlinear Choquard equation \begin{equation*} \ \ \ \ (P)\ \ \ \ \begin{cases} -Δu+u=(|x|^{-1}\ast|u|^p)…
math.AP2017★ 27 cited
Existence and mass concentration of pseudo-relativistic Hartree equation
Jianfu Yang, Jinge Yang
In this paper, we investigate the constrained minimization problem \begin{equation}\label{eq:0.1} e(a):=\inf_{\{u\in \mathcal{H},\|u\|_2^2=1\}}E_a(u), \end{equation} where the ener…